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Zongming Guo 《偏微分方程(英文版)》1997,10(3):193-212
We study the existence of positive solutions for a class of semilinear ellipcic systems in general domains via the blow up argument and degree theory. The main idea can be used to establish the existence of positive solutions for the Navier problems of polyharmonic semilinear equations in general domains. 相似文献
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Feng Xie 《偏微分方程(英文版)》2003,16(4):299-305
In this paper, the method of generalized quasilinearization is extended to a class of semilinear elliptic systems, and the sequences which are the solutions of linear differential equations that converge to the unique solution of the given semilinear elliptic system are obtained. 相似文献
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We study the existence of positive radial solutions for a class of quasilinear elliptic systems in a ball domains via the blowing up argument and degree theory. The main results of the present paper are new and extend the previously known results. 相似文献
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非线性参数椭圆系统正解的存在性与多解性 总被引:4,自引:0,他引:4
本文讨论了一类非线性含参数椭圆系统正解的存在性与多解性,通过线性算子的谱半径,给出其正径向解存在与多解的条件,本质上改进和推广了文[1-3]的结果. 相似文献
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拓扑度理论是研究非线性算子方程解的存在性的有力工具.利用拓扑度的方法,对Z-P-S空间中一类非线性算子方程解的存在性问题进行了研究,得到了若干新的结果. 相似文献
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The singularly perturbed problem for the semilinear elliptic equations is considered. Under appropriate conditions, by using the comparison theorem, the existence and asymptotic behavior of solution for the boundary value problems are studied. 相似文献
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考虑半线性椭圆方程组■(1)其中A>0,Ω是有界光滑区域.f,g是定义在R_+~2:=[0,∞)×[0,∞)上的实值函数讨论在满足什么条件下此半线性椭圆方程组存在唯一的正解. 相似文献
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We study the optimal control problem for a class of elliptic problems that may possess multiple solutions. We obtain necessary conditions for optimal control by constructing a related parabolic problem and using known results for the parabolic problem. 相似文献
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本文研究下列半线性退化椭圆Dirichlet问题:这里X={X1,…,Xm}是一组满足Hormander条件的实光滑向量场.假设它们在区域的边界附近还满足一些附加条件,以及f∈C∞〔Ω×R×Rm),并且 zf(x,z,ξ)≥0,signXf(x,z,0)≥μ>-∞,c(x)≥c0>0和f(x,z,ξ)关于变量ξ满足一定的增长条件.我们证明了当边界是无穷可微时,上述岸线性Dirichlet问题的光滑解的存在性和唯一性. 相似文献
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本文在一定条件下讨论了一类被两个p-Laplacian算子控制的拟线性椭圆型方程组Dirichlet问题多重弱解的存在性. 相似文献
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本文在一定条件下讨论了一类具有奇异项的,被两个pLaplacian算子控制的拟线性椭圆型方程组Dirichlet问题无穷多弱解的存在性. 相似文献
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一类非线性系统同宿轨族的存在性 总被引:5,自引:0,他引:5
本文研究非线性系统x=(h(y)-F(x))y=-g(X)的同宿轨族问题,获得此系统存在同宿轨族的充要条件及同宿轨与闭轨同时存在的充分条件. 相似文献
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Xu-Jia WANG 《数学年刊B辑(英文版)》2006,27(2):169-178
In this paper we prove the interior gradient and second derivative estimates for a class of fully nonlinear elliptic equations determined by symmetric functions of eigenvalues of the Ricci or Schouten tensors. As an application we prove the existence of solutions to the equations when the manifold is locally conformally flat or the Ricci curvature is positive. 相似文献
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用上下解方法和位势估计,研究Rn上具有次线性项加超线性项半线性椭圆方程给出了其有界正解的存在性、唯一性和渐近性质,其中为常数,参数. 相似文献